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mf_newforms • Show schema
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{'Nk2': 177744, 'analytic_conductor': 354.8232464217615, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [23, 1]], 'atkin_lehner_string': '--++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [44436, 1, [22219, 14813, 31741, 10585], [39, 39, 39, 39]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, 3, 3, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 22, 'fricke_eigenval': 1, 'has_non_self_twist': -1, 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873677716, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '44436.2.a.bm', 'level': 44436, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'nf_label': '5.5.14641.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '44436.2.a', 'trace_display': [0, 5, -9, -5], 'traces': [5, 0, 5, 0, -9, 0, -5, 0, 5, 0, -4, 0, -7, 0, -9, 0, 17, 0, -1, 0, -5, 0, 0, 0, 0, 0, 5, 0, 4, 0, -15, 0, -4, 0, 9, 0, -4, 0, -7, 0, -1, 0, 5, 0, -9, 0, -4, 0, 5, 0, 17, 0, 2, 0, 5, 0, -1, 0, 6, 0, 21, 0, -5, 0, 17, 0, 8, 0, 0, 0, -24, 0, -4, 0, 0, 0, 4, 0, 16, 0, 5, 0, 36, 0, -35, 0, 4, 0, 27, 0, 7, 0, -15, 0, 4, 0, 15, 0, -4, 0], 'weight': 2, 'weight_parity': 1}
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label 44436.2.a.bm does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 71, 55, 61, 66, 61, 66, 71, 55], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [23, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [529, 551, 540, 541, 552, 529, 540, 539, 481, 486, 479, 485, 479, 485, 481, 486], 'Nk2': 177744, 'analytic_conductor': 354.8232464217615, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [44436, 1, [22219, 14813, 31741, 10585], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 8689, 'dim': 506, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33598868, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 10, 10, 12, 12, 20, 20, 20, 20, 24, 24, 25, 25, 35, 35, 35, 35], 'label': '44436.2.a', 'level': 44436, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 8976, 'mf_new_dim': 506, 'num_forms': 62, 'plus_dim': 232, 'prim_orbit_index': 1, 'relative_dim': 506, 'sturm_bound': 17664, 'trace_display': [0, 0, 4, 0], 'traces': [506, 0, 0, 0, 4, 0, 0, 0, 506, 0, 4, 0, 12, 0, 4, 0, 12, 0, 8, 0, -2, 0, 0, 0, 518, 0, 0, 0, 20, 0, -16, 0, 0, 0, 4, 0, -4, 0, -8, 0, 4, 0, -8, 0, 4, 0, -32, 0, 506, 0, -12, 0, -12, 0, -48, 0, -16, 0, 0, 0, -4, 0, 0, 0, 0, 0, -16, 0, 0, 0, -28, 0, -12, 0, 0, 0, -8, 0, 24, 0, 506, 0, -24, 0, -8, 0, 0, 0, 20, 0, -8, 0, 0, 0, -32, 0, 12, 0, 4, 0, 36, 0, -24, 0, 4, 0, -36, 0, 12, 0, -16, 0, -52, 0, 0, 0, 12, 0, 4, 0, 522, 0, -4, 0, 0, 0, -24, 0, 16, 0, -64, 0, 8, 0, 4, 0, -4, 0, -32, 0, 8, 0, -8, 0, 0, 0, 0, 0, 52, 0, 24, 0, 12, 0, -32, 0, 20, 0, 0, 0, 0, 0, 16, 0, 8, 0, 8, 0, 574, 0, 8, 0, 4, 0, 0, 0, 16, 0, 12, 0, 4, 0, 16, 0, 40, 0, -8, 0, -2, 0, -12, 0, -12, 0, -16, 0, -28, 0, 8, 0, 0, 0, 8, 0, 32, 0, 0, 0, -64, 0, 16, 0, -24, 0, 8, 0, -16, 0, 24, 0, -16, 0, 8, 0, 518, 0, -32, 0, 60, 0, 4, 0, 12, 0, -24, 0, 16, 0, 36, 0, -4, 0, 0, 0, 4, 0, 56, 0, -16, 0, -40, 0, 0, 0, 48, 0, 12, 0, 32, 0, 20, 0, -12, 0, -8, 0, 12, 0, -28, 0, 8, 0, 4, 0, -60, 0, 28, 0, -16, 0, 92, 0, -64, 0, -40, 0, -4, 0, 502, 0, 56, 0, 28, 0, -24, 0, 0, 0, 0, 0, 16, 0, -20, 0, 24, 0, 0, 0, -24, 0, 16, 0, -4, 0, 4, 0, -28, 0, 8, 0, 16, 0, -48, 0, 116, 0, 0, 0, 8, 0, 16, 0, -4, 0, -16, 0, 60, 0, 0, 0, 72, 0, 0, 0, 0, 0, -28, 0, -4, 0, -8, 0, -52, 0, 8, 0, 12, 0, 76, 0, 586, 0, 80, 0, 120, 0, 72, 0, 4, 0, -32, 0, -132, 0, -24, 0, 88, 0, 40, 0, 16, 0, -40, 0, -16, 0, -8, 0, -12, 0, 0, 0, 16, 0, -56, 0, 52, 0, 8, 0, 12, 0, 136, 0, 4, 0, 32, 0, -68, 0, 16, 0, -40, 0, 32, 0, 16, 0, 64, 0, 76, 0, -32, 0, 132, 0, -16, 0, 32, 0, -52, 0, -20, 0, 8, 0, 0, 0, 8, 0, 506, 0, -68, 0, -16, 0, -16, 0, 100, 0, -8, 0, -16, 0, 8, 0, -68, 0, -12, 0, 68, 0, -96, 0, -96, 0, 16, 0, 16, 0, 0, 0, -64, 0, 224, 0, -12, 0, 112, 0, -32, 0, 0, 0, 80, 0, -16, 0, -16, 0, -36, 0, 56, 0, -48, 0, 24, 0, -56, 0, 72, 0, 104, 0, 40, 0, 32, 0, 68, 0, 16, 0, -16, 0, 192, 0, -32, 0, 28, 0, -172, 0, -48, 0, -22, 0, -24, 0, 0, 0, 0, 0, 1016, 0, -192, 0, 56, 0, 4, 0, 20, 0, -8, 0, 1128, 0, 48, 0, -4, 0, -88, 0, 32, 0, -16, 0, 108, 0, -40, 0, -40, 0, 56, 0, 1064, 0, 0, 0, 100, 0, -96, 0, -24, 0, 0, 0, 132, 0, -16, 0, 0, 0, -24, 0, 0, 0, -40, 0, -24, 0, -40, 0, 852, 0, 0, 0, 48, 0, -20, 0, -20, 0, -16, 0, -84, 0, -96, 0, -4, 0, -32, 0, 84, 0, -64, 0, -76, 0, 104, 0, 0, 0, -20, 0, 426, 0, -32, 0, 1024, 0, -136, 0, -64, 0, 40, 0, 12, 0, -28, 0, 124, 0, -32, 0, 32, 0, 160, 0, -56, 0, -8, 0, 4, 0, -64, 0, -12, 0, 92, 0, 116, 0, -16, 0, 16, 0, 0, 0, -8, 0, -136, 0, 1076, 0, 0, 0, 76, 0, 56, 0, 8, 0, 116, 0, 24, 0, 24, 0, 96, 0, 16, 0, -8, 0, 88, 0, -64, 0, -48, 0, 84, 0, 16, 0, 32, 0, -4, 0, 76, 0, 24, 0, 0, 0, 32, 0, 24, 0, -8, 0, 8, 0, 24, 0, 1132, 0, 8, 0, 506, 0, -184, 0, -44, 0, 4, 0, 32, 0, -104, 0, 32, 0, 36, 0, -56, 0, -24, 0, 24, 0, -96, 0, -64, 0, 128, 0, -12, 0, 0, 0, -100, 0, 0, 0, -8, 0, -16, 0, 76, 0, -20, 0, -12, 0, -48, 0, 12, 0, -32, 0, -112, 0, 0, 0, 800, 0, -168, 0, 0, 0, 32, 0, 40, 0, 88, 0, -148, 0, -40, 0, 20, 0, -32, 0, 0, 0, -4, 0, -108, 0, -24, 0, 96, 0, 144, 0, -40, 0, -8, 0, -164, 0, 112, 0, -88, 0, -260, 0, -68, 0, -32, 0, 12, 0, 48, 0, 0, 0, -104, 0, 566, 0, -24, 0, 44, 0, -48, 0, 0, 0, 0, 0, 948, 0, -32, 0, -84, 0, 24, 0, -12, 0, -76, 0, -40, 0, -48, 0, 48, 0, -112, 0, 12, 0, -48, 0, 116, 0, -12, 0, -76, 0, -8, 0, -16, 0, -24, 0, 32, 0, 4, 0, -88, 0, -32, 0, 0, 0, -32, 0, -24, 0, 24, 0, -216, 0, -24, 0, 36, 0, 28, 0, -256, 0, 72, 0, 0, 0, 176, 0, -8, 0, 40, 0, 36, 0, -24, 0, 940, 0, 8, 0, 8, 0, 32, 0, -52, 0, -32, 0, -4, 0, 0, 0, 4, 0, 36, 0, 48, 0, -56, 0, 92, 0, -16, 0, 16, 0, 40, 0, 442, 0, -36, 0, 8, 0, 64, 0, 200, 0, 16, 0, 0, 0, -120, 0, -68, 0, 72, 0, 12, 0, 248, 0, 120, 0, -24, 0, 0, 0, -72, 0, 80, 0, 256, 0, 4, 0, -16, 0], 'weight': 2, 'weight_parity': 1}
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source_label 44436.2.a.bm does not appear in mf_twists_nf
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hecke_orbit_code 171136785873677716 does not appear in mf_hecke_charpolys
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label 44436.2.a.bm does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 169173942
{'hecke_orbit_code': 171136785873677716, 'n': 1, 'trace_an': 5}
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id: 169173943
{'hecke_orbit_code': 171136785873677716, 'n': 2, 'trace_an': 0}
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id: 169173944
{'hecke_orbit_code': 171136785873677716, 'n': 3, 'trace_an': 5}
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id: 169173945
{'hecke_orbit_code': 171136785873677716, 'n': 4, 'trace_an': 0}
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id: 169173946
{'hecke_orbit_code': 171136785873677716, 'n': 5, 'trace_an': -9}
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id: 169173947
{'hecke_orbit_code': 171136785873677716, 'n': 6, 'trace_an': 0}
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id: 169173948
{'hecke_orbit_code': 171136785873677716, 'n': 7, 'trace_an': -5}
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id: 169173949
{'hecke_orbit_code': 171136785873677716, 'n': 8, 'trace_an': 0}
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id: 169173950
{'hecke_orbit_code': 171136785873677716, 'n': 9, 'trace_an': 5}
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id: 169173951
{'hecke_orbit_code': 171136785873677716, 'n': 10, 'trace_an': 0}
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id: 169173952
{'hecke_orbit_code': 171136785873677716, 'n': 11, 'trace_an': -4}
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id: 169173953
{'hecke_orbit_code': 171136785873677716, 'n': 12, 'trace_an': 0}
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id: 169173954
{'hecke_orbit_code': 171136785873677716, 'n': 13, 'trace_an': -7}
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id: 169173955
{'hecke_orbit_code': 171136785873677716, 'n': 14, 'trace_an': 0}
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id: 169173956
{'hecke_orbit_code': 171136785873677716, 'n': 15, 'trace_an': -9}
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id: 169173957
{'hecke_orbit_code': 171136785873677716, 'n': 16, 'trace_an': 0}
-
id: 169173958
{'hecke_orbit_code': 171136785873677716, 'n': 17, 'trace_an': 17}
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id: 169173959
{'hecke_orbit_code': 171136785873677716, 'n': 18, 'trace_an': 0}
-
id: 169173960
{'hecke_orbit_code': 171136785873677716, 'n': 19, 'trace_an': -1}
-
id: 169173961
{'hecke_orbit_code': 171136785873677716, 'n': 20, 'trace_an': 0}
-
id: 169173962
{'hecke_orbit_code': 171136785873677716, 'n': 21, 'trace_an': -5}
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id: 169173963
{'hecke_orbit_code': 171136785873677716, 'n': 22, 'trace_an': 0}
-
id: 169173964
{'hecke_orbit_code': 171136785873677716, 'n': 23, 'trace_an': 0}
-
id: 169173965
{'hecke_orbit_code': 171136785873677716, 'n': 24, 'trace_an': 0}
-
id: 169173966
{'hecke_orbit_code': 171136785873677716, 'n': 25, 'trace_an': 0}
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id: 169173967
{'hecke_orbit_code': 171136785873677716, 'n': 26, 'trace_an': 0}
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id: 169173968
{'hecke_orbit_code': 171136785873677716, 'n': 27, 'trace_an': 5}
-
id: 169173969
{'hecke_orbit_code': 171136785873677716, 'n': 28, 'trace_an': 0}
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id: 169173970
{'hecke_orbit_code': 171136785873677716, 'n': 29, 'trace_an': 4}
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id: 169173971
{'hecke_orbit_code': 171136785873677716, 'n': 30, 'trace_an': 0}
-
id: 169173972
{'hecke_orbit_code': 171136785873677716, 'n': 31, 'trace_an': -15}
-
id: 169173973
{'hecke_orbit_code': 171136785873677716, 'n': 32, 'trace_an': 0}
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id: 169173974
{'hecke_orbit_code': 171136785873677716, 'n': 33, 'trace_an': -4}
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id: 169173975
{'hecke_orbit_code': 171136785873677716, 'n': 34, 'trace_an': 0}
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id: 169173976
{'hecke_orbit_code': 171136785873677716, 'n': 35, 'trace_an': 9}
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id: 169173977
{'hecke_orbit_code': 171136785873677716, 'n': 36, 'trace_an': 0}
-
id: 169173978
{'hecke_orbit_code': 171136785873677716, 'n': 37, 'trace_an': -4}
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id: 169173979
{'hecke_orbit_code': 171136785873677716, 'n': 38, 'trace_an': 0}
-
id: 169173980
{'hecke_orbit_code': 171136785873677716, 'n': 39, 'trace_an': -7}
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id: 169173981
{'hecke_orbit_code': 171136785873677716, 'n': 40, 'trace_an': 0}
-
id: 169173982
{'hecke_orbit_code': 171136785873677716, 'n': 41, 'trace_an': -1}
-
id: 169173983
{'hecke_orbit_code': 171136785873677716, 'n': 42, 'trace_an': 0}
-
id: 169173984
{'hecke_orbit_code': 171136785873677716, 'n': 43, 'trace_an': 5}
-
id: 169173985
{'hecke_orbit_code': 171136785873677716, 'n': 44, 'trace_an': 0}
-
id: 169173986
{'hecke_orbit_code': 171136785873677716, 'n': 45, 'trace_an': -9}
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id: 169173987
{'hecke_orbit_code': 171136785873677716, 'n': 46, 'trace_an': 0}
-
id: 169173988
{'hecke_orbit_code': 171136785873677716, 'n': 47, 'trace_an': -4}
-
id: 169173989
{'hecke_orbit_code': 171136785873677716, 'n': 48, 'trace_an': 0}
-
id: 169173990
{'hecke_orbit_code': 171136785873677716, 'n': 49, 'trace_an': 5}
-
id: 169173991
{'hecke_orbit_code': 171136785873677716, 'n': 50, 'trace_an': 0}
-
id: 169173992
{'hecke_orbit_code': 171136785873677716, 'n': 51, 'trace_an': 17}
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id: 169173993
{'hecke_orbit_code': 171136785873677716, 'n': 52, 'trace_an': 0}
-
id: 169173994
{'hecke_orbit_code': 171136785873677716, 'n': 53, 'trace_an': 2}
-
id: 169173995
{'hecke_orbit_code': 171136785873677716, 'n': 54, 'trace_an': 0}
-
id: 169173996
{'hecke_orbit_code': 171136785873677716, 'n': 55, 'trace_an': 5}
-
id: 169173997
{'hecke_orbit_code': 171136785873677716, 'n': 56, 'trace_an': 0}
-
id: 169173998
{'hecke_orbit_code': 171136785873677716, 'n': 57, 'trace_an': -1}
-
id: 169173999
{'hecke_orbit_code': 171136785873677716, 'n': 58, 'trace_an': 0}
-
id: 169174000
{'hecke_orbit_code': 171136785873677716, 'n': 59, 'trace_an': 6}
-
id: 169174001
{'hecke_orbit_code': 171136785873677716, 'n': 60, 'trace_an': 0}
-
id: 169174002
{'hecke_orbit_code': 171136785873677716, 'n': 61, 'trace_an': 21}
-
id: 169174003
{'hecke_orbit_code': 171136785873677716, 'n': 62, 'trace_an': 0}
-
id: 169174004
{'hecke_orbit_code': 171136785873677716, 'n': 63, 'trace_an': -5}
-
id: 169174005
{'hecke_orbit_code': 171136785873677716, 'n': 64, 'trace_an': 0}
-
id: 169174006
{'hecke_orbit_code': 171136785873677716, 'n': 65, 'trace_an': 17}
-
id: 169174007
{'hecke_orbit_code': 171136785873677716, 'n': 66, 'trace_an': 0}
-
id: 169174008
{'hecke_orbit_code': 171136785873677716, 'n': 67, 'trace_an': 8}
-
id: 169174009
{'hecke_orbit_code': 171136785873677716, 'n': 68, 'trace_an': 0}
-
id: 169174010
{'hecke_orbit_code': 171136785873677716, 'n': 69, 'trace_an': 0}
-
id: 169174011
{'hecke_orbit_code': 171136785873677716, 'n': 70, 'trace_an': 0}
-
id: 169174012
{'hecke_orbit_code': 171136785873677716, 'n': 71, 'trace_an': -24}
-
id: 169174013
{'hecke_orbit_code': 171136785873677716, 'n': 72, 'trace_an': 0}
-
id: 169174014
{'hecke_orbit_code': 171136785873677716, 'n': 73, 'trace_an': -4}
-
id: 169174015
{'hecke_orbit_code': 171136785873677716, 'n': 74, 'trace_an': 0}
-
id: 169174016
{'hecke_orbit_code': 171136785873677716, 'n': 75, 'trace_an': 0}
-
id: 169174017
{'hecke_orbit_code': 171136785873677716, 'n': 76, 'trace_an': 0}
-
id: 169174018
{'hecke_orbit_code': 171136785873677716, 'n': 77, 'trace_an': 4}
-
id: 169174019
{'hecke_orbit_code': 171136785873677716, 'n': 78, 'trace_an': 0}
-
id: 169174020
{'hecke_orbit_code': 171136785873677716, 'n': 79, 'trace_an': 16}
-
id: 169174021
{'hecke_orbit_code': 171136785873677716, 'n': 80, 'trace_an': 0}
-
id: 169174022
{'hecke_orbit_code': 171136785873677716, 'n': 81, 'trace_an': 5}
-
id: 169174023
{'hecke_orbit_code': 171136785873677716, 'n': 82, 'trace_an': 0}
-
id: 169174024
{'hecke_orbit_code': 171136785873677716, 'n': 83, 'trace_an': 36}
-
id: 169174025
{'hecke_orbit_code': 171136785873677716, 'n': 84, 'trace_an': 0}
-
id: 169174026
{'hecke_orbit_code': 171136785873677716, 'n': 85, 'trace_an': -35}
-
id: 169174027
{'hecke_orbit_code': 171136785873677716, 'n': 86, 'trace_an': 0}
-
id: 169174028
{'hecke_orbit_code': 171136785873677716, 'n': 87, 'trace_an': 4}
-
id: 169174029
{'hecke_orbit_code': 171136785873677716, 'n': 88, 'trace_an': 0}
-
id: 169174030
{'hecke_orbit_code': 171136785873677716, 'n': 89, 'trace_an': 27}
-
id: 169174031
{'hecke_orbit_code': 171136785873677716, 'n': 90, 'trace_an': 0}
-
id: 169174032
{'hecke_orbit_code': 171136785873677716, 'n': 91, 'trace_an': 7}
-
id: 169174033
{'hecke_orbit_code': 171136785873677716, 'n': 92, 'trace_an': 0}
-
id: 169174034
{'hecke_orbit_code': 171136785873677716, 'n': 93, 'trace_an': -15}
-
id: 169174035
{'hecke_orbit_code': 171136785873677716, 'n': 94, 'trace_an': 0}
-
id: 169174036
{'hecke_orbit_code': 171136785873677716, 'n': 95, 'trace_an': 4}
-
id: 169174037
{'hecke_orbit_code': 171136785873677716, 'n': 96, 'trace_an': 0}
-
id: 169174038
{'hecke_orbit_code': 171136785873677716, 'n': 97, 'trace_an': 15}
-
id: 169174039
{'hecke_orbit_code': 171136785873677716, 'n': 98, 'trace_an': 0}
-
id: 169174040
{'hecke_orbit_code': 171136785873677716, 'n': 99, 'trace_an': -4}
-
id: 169174041
{'hecke_orbit_code': 171136785873677716, 'n': 100, 'trace_an': 0}